Lie theory and separation of variables. 4. The groups SO (2,1) and SO (3)

DOI10.1063/1.1666805zbMath0285.33017OpenAlexW2027726762WikidataQ115333838 ScholiaQ115333838MaRDI QIDQ4771263

Ernest G. Kalnins, Willard jun. Miller

Publication date: 1974

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1666805

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70) Linear higher-order PDEs (35G05)

Related Items (10)

Separation of variables and subgroup bases on n-dimensional hyperboloids ⋮ Path integrals evaluation in two-dimensional de Sitter space ⋮ Lie theory and separation of variables. 6. The equation i U t + Δ2U = 0 ⋮ Lie theory and separation of variables. 8. Semisubgroup coordinates for Ψt t − Δ2Ψ = 0 ⋮ Lie theory and the wave equation in space–time. I. The Lorentz group ⋮ Perturbation algebra of an elliptic operator ⋮ Superintegrability on the two-dimensional hyperboloid. II ⋮ The wave equation, O(2, 2), and separation of variables on hyperboloids ⋮ Subgroups of Lie groups and separation of variables ⋮ The unitary irreducible representations of SL(2, R) in all subgroup reductions

Cites Work

• Irreducible unitary representations of the Lorentz group
• A new basis for the representations of the rotation group. Lamé and Heun polynomials
• Lie theory and separation of variables. 3. The equation ftt−fss =γ2f
• Mixed basis matrix elements for the subgroup reductions of SO(2,1)

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